Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7.5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 3 \div \frac{ - 2}{5} }[/tex]
If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor
⇒[tex] \sf{ \frac{ - 3}{1} \times \frac{5}{ - 2} }[/tex]
To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \sf{ \frac{ - 3 \times 5}{1 \times ( - 2)} }[/tex]
⇒[tex] \sf{ \frac{ - 15}{ - 2} }[/tex]
Divide -15 by -2
⇒[tex] \sf{7.5}[/tex]
Hope I helped!
Best regards!!
Solve for x: −3(x + 3) = −3(x + 1) − 5.
A. 6
B. −6
C. All real numbers
D. No solution
Answer:
no solutions
Step-by-step explanation:
−3(x + 3) = −3(x + 1) − 5
Distribute
-3x -9 = -3x -3 -5
Combine like terms
-3x -9 = -3x-8
Add 3x to each side
-9 = -8
Since this is never true, there are not solutions
What is the slope of the line passing through the point (2,-1) and the origin?
Answer:
y = - 1/2x
Step-by-step explanation:
How is this solved..? Plz help
Answer:
I believe the answer is B...
Step-by-step explanation:
Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the quanity demanded in units of a thousand, determine the equilibrium quanity and equilibrium price
Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ [tex]x=\frac{50 - p}{6}[/tex] the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ [tex]x=\frac{p-14}{6}[/tex]Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:
[tex]\frac{50 - p}{6}=\frac{p-14}{6}[/tex]
Solving, you get:
[tex]6*\frac{50 - p}{6}=p-14[/tex]
50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p
[tex]p=\frac{64}{2}[/tex]
P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
demand equation: [tex]x=\frac{50 - 32}{6}[/tex] ⇒ x= 3 Thousand unitsthe supply equation [tex]x=\frac{32-14}{6}[/tex] ⇒ x=3 Thousand unitsSo, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
What’s the axis of symmetry for f(x)=2(x-3)^2+6
Answer: The axis of symmetry is x=3.
HELPP!!
if f(x) =x²-3, then f(3) - f(-1) is:
Answer:f8
Step-by-step explanation:
What is the median of the following numbers?
8, 10, 10, 10, 6, 7, 8
The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?
Time (minutes), x Distance (miles), y
0 0
20 15
40 30
60 45
80 60
constant function
linear function
absolute value function
quadratic function
Answer:
Linear Function
Step-by-step explanation:
Given
The table showing values of x and y
Required
Determine the type of function
To determine the type of function, the table represents;
One will need to determine the table equation.
Start by solving for the slope;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
When x - 0; y = 0 and When x = 80; y = 60.
This gives
[tex]m = \frac{0 - 60}{0 - 80}[/tex]
[tex]m = \frac{- 60}{- 80}[/tex]
[tex]m = \frac{3}{4}[/tex]
The formula is determine as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
When x - 0; y = 0; m = 3/4; This gives
[tex]y - 0 = \frac{3}{4}(x - 0)[/tex]
[tex]y = \frac{3}{4}(x - 0)[/tex]
Open Bracket
[tex]y = \frac{3}{4}x - 0[/tex]
[tex]y = \frac{3}{4}x[/tex]
The above is an example of a linear equation.
Hence; option B answers the question
Find the domain of the function. (Enter your answer using interval notation.)
Answer:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
Step-by-step explanation:
The domain of a rational function is all real numbers except for when the denominator equals 0.
So, to find the domain restrictions, set the denominator to 0 and solve for x.
We have the rational function:
[tex]s(y)=\frac{7y}{y+9}[/tex]
Set the denominator to 0:
[tex]y+9=0[/tex]
Subtract 9:
[tex]y\neq-9[/tex]
So, the domain is all real numbers except for -9.
In other words, our domain is all values to the left of negative 9 and to the right of negative 9.
In interval notation, this is:
[tex](-\infty,-9)\cup(-9,\infty)[/tex]
And we're done :)
A) 5y +32=72
B) K/2+24=29
Step-by-step explanation:
A)y=8
B)k=10
5y=72-32
5y=40
y=8
1/2k+24=29
k+48=58
k=58-48
k=10
100 POINTS !!
describe the transformation f(x)=9
a. translation 8 units right b. none. c. translation 8 units up.
d. translation 8 units down.
e. translation 8 units left.
Answer:
b. none
Step-by-step explanation:
All the other answers have the number 8 in it which the equation does not have.
A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?
The options in this question are not given; here is the complete question:
A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?
A. Identifier
B. Categorical
C. Quantitative
D. Qualitative
The answer to this question is C. Quantitative
Explanation:
In research, a quantitative variable refers to a variable or factor that involves using numbers, percentages, and in general, quantities to be understood. Moreover, this is the opposite of qualitative variables that involve using qualities. The medical research described includes a quantitative variable because heart rate can only be measured and understood through numbers. Also, other types of variables such as qualitative or categorical are not involved because these are related to qualities rather than numbers.
Which function rule models the function over the domain specified in the table below?
Х
f(x)
-11
-7
-1
1
3
9
4
11
7
17
f(x) = 3x + 10
Of(x) = 2x + 3
f(x) = 4x + 5
O f(x) = 3x - 10
Answer:
f(x) = 2x +3
Step-by-step explanation:
If we assume the first point in your table is supposed to be (-7, -11), then the function exhibits a constant slope of 2.
For example, from (x, y) = (3, 9) to (4, 11) the x-value changes by 1, but the y-value changes by 2.
The only offered answer choice with a slope (x-coefficient) of 2 is ...
f(x) = 2x +3
question 1 parent functions graph
Answer:
c. Square Root
If you want me to explain, let me know!
The value of y is directly proportional to
the value of x. If y = 84 when x = 16, what
is the value of y when x = 75?
Answer:
y = 393.75
Step-by-step explanation:
Proportions:
84 ⇔ 16
y ⇔ 75
y = 75*84/16
y = 393.75
if y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2
Answer:
D
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 12 when x = 6, thus
- 12 = 6k ( divide both sides by 6 )
- 2 = k
y = - 2x ← equation of variation
When y = - 4, then
- 4 = - 2x ( divide both sides by - 2 )
2 = x → D
Can someone help me with this question please
Answer:
3 or 4
Step-by-step explanation:
Answer:
6 m and 18 m
Step-by-step explanation:
There are 2 similar triangles in the diagram
lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost
Nick/ Nick's shadow/ line from end of shadow to top of Nick
Therefore the ratios of corresponding sides are equal.
Note the shadow of the lamppost = 12 + x, thus
[tex]\frac{6}{2}[/tex] = [tex]\frac{12+x}{x}[/tex] ( cross- multiply )
6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
Nick's shadow is 6 m long
Lamppost's shadow is 12 + 6 = 18 m long
I just need to find this data set out, please anyone?
Answer:
Ok so...
Mean: 68.76
Median: 72
Range: 85
Step-by-step explanation:
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answer:
[tex]300\div b[/tex] windows
Step-by-step explanation:
We can find how many windows each building has by changing our old expression.
If we assume [tex]b[/tex] is the amount of buildings and [tex]w[/tex] is the amount of windows per building, we can make the equation:
[tex]wb = 300[/tex].
Now we want to isolate w on one side.
To do this we can divide both sides by b.
[tex]wb\div b = 300\div b\\\\w = 300\div b[/tex]
So the amount of windows per building is [tex]300 \div b[/tex].
Hope this helped!
what is 17 minus 5 times 4 divided by 2
Answer:
7
Step-by-step explanation:
4 ÷ 2 = 2
2 × 5 = 10
17 - 10 = 7
Answer:
24
Step-by-step explanation:
17 minus 5 is 12
12 times 4 is 48
48 divided by 2 is 24
yeah....
What’s the value of |4|
Answer:
The value is 4
Step-by-step explanation:
This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.
Answer: 4
Step-by-step explanation: The absolute value is how far a number is away from 0
Question 2 (1 point)
During the third week of practice Ellison's cross country team ran 6 miles less than triple the number of miles they ran the
first week. If they ran m miles in practice the first week, write an expression that represents the number of miles that
the cross country team ran during the third week.
a
3-6m
3m-6
b
C
6-3m
Od
6m-3
Answer:
first week = m miles
second week = 6 miles less than triple the number of miles they ran the
first week.
Triple of the number of miles they ran the first week = 3 * m = 3m
Therefore = 3m - 6
please help me find the distance! :)
Answer:
5
Step-by-step explanation:
C(-6,5) D (-3,1)
to find a distance between two points use the following formula:
d=√(x2-x1)²+(y2-y1)²
d=√-3-(-6)+(1-5)²
d=√(-3+6)²+(-4)²
d=√(3)²+16
d=√25
d=5
Answer:
7
Step-by-step explanation:
you had to go up 3 times on the x place to make -6 to -3
you had to go down 4 times to make 5 go to 1
so 3+4 is 7
1. Define and give a visual example of the Commutative Property.
2. Explain the process ( Every Step ) that you would use to simplify the following expression.
7 ( c + 3 ) + -4 (3c -2 )
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza does not touch the table? Use 3.14 for pi.
Answer:
10 inStep-by-step explanation:
This problem bothers on the mensuration of flat shapes, circles and square.
we know that the pizza has a circular profile
and the place-mat has a square profile.
Step one:
let us solve for the radius of the pizza
[tex]area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in[/tex]
Step two:
from inspection we know that the width of the place-mat is same as the diameter of the pizza
hence diameter of pizza
= 2r
=2*5
=10 in
nzmxmhxmxnmxhsk6xmxhxmx
Answer:
Yeah
Step-by-step explanation:
Hope that helped
12. A road race is 15 kilometers long. After the starting line, there are water stations every
0.3 kilometer. How many water stations are there?
Answer:
50
Step-by-step explanation:
Given
there is 1 water station at every 0.3 KM
If there are n water stations at every 0.3 KM
then KM covered by them = n*0.3 = 0.3n
given that total KM covered is 15 km
Thus,
0.3n = 15
=> n = 15/0.3 = 50
Thus, there are 50 water stations.
Which two values of n make this equation true? |n|= 3
Answer:
n= 3 and n = -3
Step-by-step explanation:
In general
|n| = a <=> n = a or n= -a (for n and a are real numbers)
A company ships bowling balls in rectangular prisms that are 190% of the volume of the balls. If a truck carries 30 large boxes full of bowling balls, and those boxes are 35in. x 26in. x 26in., and the bowling balls are 8.5 inches in diameter, then how many bowling balls will be in the 25 truck shipment.
Answer:
b
Step-by-step explanation:
What is the value of x3 . y4 when x
3 and y = 0?
Answer:
0Step-by-step explanation:
[tex]x^3 \times y^4\\\\x = 3\\y =0 \\\\(3)^3\times 0^4\\\\3^3\times\:0^4\\\\\mathrm{Apply\:rule}\:0^a=0\\0^4=0\\\\=3^3\times\:0\\\\\mathrm{Apply\:rule}\:0\times\:a=0\\=0[/tex]
Answer:
We need to calculate [tex]x^3*y^4[/tex] for x = 3 and y = 0.
First thing we do is replacing x and y on [tex]x^3*y^4[/tex]:
[tex]3^3*0^4[/tex]
Now, we only need to solve it:
[tex]3^3*0^4[/tex] = [tex]27 * 0[/tex] = [tex]0[/tex]
Remember that [tex]3^3 = 3*3*3[/tex]